w(w)+30=11w

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Solution for w(w)+30=11w equation:


Simplifying
w(w) + 30 = 11w

Multiply w * w
w2 + 30 = 11w

Reorder the terms:
30 + w2 = 11w

Solving
30 + w2 = 11w

Solving for variable 'w'.

Reorder the terms:
30 + -11w + w2 = 11w + -11w

Combine like terms: 11w + -11w = 0
30 + -11w + w2 = 0

Factor a trinomial.
(5 + -1w)(6 + -1w) = 0

Subproblem 1

Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5

Subproblem 2

Set the factor '(6 + -1w)' equal to zero and attempt to solve: Simplifying 6 + -1w = 0 Solving 6 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 0 + -6 -1w = 0 + -6 Combine like terms: 0 + -6 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6

Solution

w = {5, 6}

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